I'm stuck on the barrier blueprint quest. I don't have the blueprint. I've went back and talked to every character. The only thing that wasn't greyed out was leave option.
The current free version has this softlock. Did you complete the Journey tutorial on Easy difficulty? That cuts the reward in half, so you don’t have enough resources to build the barrier.
Or have you not played the RPG mode at all? In that case, click the portal button in the top-left corner.